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Axial Load given Maximum Stress for Short Beams Formula

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Axial Load is a force applied on a structure directly along an axis of the structure. Check FAQs

P = A \cdot (σ max - (\frac{M max \cdot y}{I}))

P - Axial Load?A - Cross Sectional Area?σ_max - Maximum Stress?M_max - Maximum Bending Moment?y - Distance from Neutral Axis?I - Area Moment of Inertia?

Axial Load given Maximum Stress for Short Beams Example

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Here is how the Axial Load given Maximum Stress for Short Beams equation looks like with Values.

Here is how the Axial Load given Maximum Stress for Short Beams equation looks like with Units.

Here is how the Axial Load given Maximum Stress for Short Beams equation looks like.

1999.98 = 0.12 \cdot (0.137 - (\frac{7.7 \cdot 25}{0.0016}))

1999.98N = 0.12m² \cdot (0.137MPa - (\frac{7.7kN*m \cdot 25mm}{0.0016m⁴}))

1999.98 = 0.12 \cdot (0.137 - (\frac{7.7 \cdot 25}{0.0016}))

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Axial Load given Maximum Stress for Short Beams Solution

Follow our step by step solution on how to calculate Axial Load given Maximum Stress for Short Beams?

FIRST Step Consider the formula

P = A \cdot (σ max - (\frac{M max \cdot y}{I}))

Next Step Substitute values of Variables

∴

P = 0.12m² \cdot (0.137MPa - (\frac{7.7kN*m \cdot 25mm}{0.0016m⁴}))

Next Step Convert Units

∴

P = 0.12m² \cdot (136979Pa - (\frac{7700N*m \cdot 0.025m}{0.0016m⁴}))

Next Step Prepare to Evaluate

∴

P = 0.12 \cdot (136979 - (\frac{7700 \cdot 0.025}{0.0016}))

LAST Step Evaluate

∴

P = 1999.98N

Axial Load given Maximum Stress for Short Beams Formula Elements

Variables

Axial Load

Axial Load is a force applied on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Load

Cross Sectional Area

The Cross Sectional Area is the breadth times the depth of the beam structure.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Maximum Stress

Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks.

Symbol: σ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Stress

Maximum Bending Moment

Maximum Bending Moment occurs where shear force is zero.

Symbol: M_max

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Maximum Bending Moment

Distance from Neutral Axis

Distance from Neutral Axis is measured between N.A. and the extreme point.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Axis

Area Moment of Inertia

Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Other formulas in Combined Axial and Bending Loads category

Go Maximum Stress for Short Beams

σ max = (\frac{P}{A}) + (\frac{M max \cdot y}{I})

Go Cross-Sectional Area given Maximum Stress for Short Beams

A = \frac{P}{σ max - (\frac{M max \cdot y}{I})}

Go Maximum Bending Moment given Maximum Stress for Short Beams

M max = \frac{(σ max - (\frac{P}{A})) \cdot I}{y}

Go Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams

y = \frac{(σ max \cdot A \cdot I) - (P \cdot I)}{M max \cdot A}

How to Evaluate Axial Load given Maximum Stress for Short Beams?

Axial Load given Maximum Stress for Short Beams evaluator uses Axial Load = Cross Sectional Area*(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)) to evaluate the Axial Load, The Axial Load given Maximum Stress for Short Beams formula is defined as applying a force on a structure directly along an axis of the structure. Axial Load is denoted by P symbol.

How to evaluate Axial Load given Maximum Stress for Short Beams using this online evaluator? To use this online evaluator for Axial Load given Maximum Stress for Short Beams, enter Cross Sectional Area (A), Maximum Stress (σ_max), Maximum Bending Moment (M_max), Distance from Neutral Axis (y) & Area Moment of Inertia (I) and hit the calculate button.

FAQs on Axial Load given Maximum Stress for Short Beams

What is the formula to find Axial Load given Maximum Stress for Short Beams?

The formula of Axial Load given Maximum Stress for Short Beams is expressed as Axial Load = Cross Sectional Area*(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)). Here is an example- 1999.98 = 0.12*(136979-((7700*0.025)/0.0016)).

How to calculate Axial Load given Maximum Stress for Short Beams?

With Cross Sectional Area (A), Maximum Stress (σ_max), Maximum Bending Moment (M_max), Distance from Neutral Axis (y) & Area Moment of Inertia (I) we can find Axial Load given Maximum Stress for Short Beams using the formula - Axial Load = Cross Sectional Area*(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)).

Can the Axial Load given Maximum Stress for Short Beams be negative?

No, the Axial Load given Maximum Stress for Short Beams, measured in Force cannot be negative.

Which unit is used to measure Axial Load given Maximum Stress for Short Beams?

Axial Load given Maximum Stress for Short Beams is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Axial Load given Maximum Stress for Short Beams can be measured.

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Axial Load given Maximum Stress for Short Beams Formula

Axial Load given Maximum Stress for Short Beams Example

Axial Load given Maximum Stress for Short Beams Solution

Axial Load given Maximum Stress for Short Beams Formula Elements

Other formulas in Combined Axial and Bending Loads category

How to Evaluate Axial Load given Maximum Stress for Short Beams?

FAQs on Axial Load given Maximum Stress for Short Beams

Variable Name